Searches for new particles beyond the Standard Model (SM) at the LHC are difficult if light new particles have small production cross sections, and heavy new particles with larger production cross sections undergo dominantly cascade decays. This can be the case for supersymmetric extensions of the SM such as the Next-to-Minimal Supersymmetric Standard Model (NMSSM) [1]}, [2]}. In the present article we focus on the Higgs sector of the NMSSM, where this phenomenon can take place. Accordingly wide regions of the parameter space of the Higgs sector of the NMSSM have not yet been explored, and it remains a challenging task for the future to cover them.
